Expressions, Equations, and Relationships>Writing Real-World Problems for Given One-Variable, One-Step Equations or Inequalities(TEKS.Math.6.9.C)
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Texas 6th Grade Math › Expressions, Equations, and Relationships>Writing Real-World Problems for Given One-Variable, One-Step Equations or Inequalities(TEKS.Math.6.9.C)
Write a real-world problem that matches the equation $x + 7 = 15$.
Diego had some marbles. After buying 7 more, he had 15 marbles in all. How many marbles did he have to start with?
Diego had 15 marbles. He gave away 7. How many marbles are left?
Diego has 7 times as many marbles as his friend, and together they have 15 marbles. How many does his friend have?
When Diego adds 15 to a number, the result is 7. What is the number?
Explanation
The expression $x + 7$ means starting amount plus 7 more, and the equation equals 15 total. So the scenario of starting with $x$ marbles, buying 7 more, and ending with 15 matches $x + 7 = 15$. The other options use subtraction, multiplication, or reverse the numbers.
Write a real-world problem that matches the equation $\frac{x}{4} = 6$.
A 6-inch ribbon is cut into 4 equal pieces. What is the length of each piece $x$?
Four identical ribbons are taped together to make a ribbon that is 6 inches long. What is the length of one ribbon $x$?
A ribbon of length $x$ is cut into 4 equal pieces. Each piece is 6 inches long. What is the original length?
Four boxes each hold 6 markers, for a total of $x$ markers. How many markers are there altogether?
Explanation
The equation $\frac{x}{4} = 6$ means a total amount $x$ is split into 4 equal parts, and each part is 6. That exactly matches cutting a ribbon of length $x$ into 4 equal pieces of length 6. Option A is $x = \frac{6}{4}$. Option B is $4x = 6$. Option D is $x = 4 \times 6$.
Create a situation that this inequality could represent: $x + 5 \ge 12$.
You have $x$ dollars and spend 5 dollars. You want to have more than 12 dollars left.
A video game requires you to be at least 12 years old. You are $x$ years old now and will be 5 years older next year.
Your plant is $x$ inches tall and grows 5 inches to be less than 12 inches tall.
You have $x$ dollars and will get 5 more dollars as allowance. You need at least 12 dollars to buy a book.
Explanation
The expression $x + 5$ means you will have 5 more than your current amount, and $\ge 12$ means at least 12. So needing at least 12 after getting 5 more dollars matches $x + 5 \ge 12$. Other choices use subtraction, a different comparison, or 'less than' instead of 'at least.'
Write a real-world problem that matches the equation $x - 9 = 4$.
You start with 9 stickers, give away $x$, and have 4 left. How many did you give away?
You had $x$ dollars. After spending 9 dollars, you have 4 dollars left. How much did you start with?
You saved $x$ dollars and then found 9 more, bringing your total to 4 dollars. How much had you saved?
You had 4 dollars. After spending 9 dollars, you have $x$ dollars left. How much do you have now?
Explanation
The expression $x - 9$ means starting amount minus 9, and it equals 4. Spending 9 dollars and ending with 4 matches $x - 9 = 4$. Option A is $9 - x = 4$. Option C is $x + 9 = 4$. Option D is $4 - 9 = x$.